Non-uniqueness and prescribed energy for the continuity equation [PDF]
, 2015 In this note, we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Gusev, Nikolay +3 more
core +1 more source
Numerical Investigation of Pollutant Transport in a Realistic Terrain with the SPH-SWE Method
Frontiers in Environmental Science, 2022 A large amount of wastewater from industrial and urban residents enters rivers and lakes through the sewage outlet, causing a deterioration of water quality near the sewage outlet.
Lirong Tian +12 more
doaj +1 more source
A method of approximate green's function for solving reflection of particles in plane geometry [PDF]
Nuclear Technology and Radiation Protection, 2016 A method for approximate analytical solution of transport equation for particles in plane geometry is developed by solving Fredholm integral equations. Kernels of these equations are the Green's functions for infinite media treated approximately.
Belić Čedomir I. +2 more
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Continuity equations and ODE flows with non-smooth velocity [PDF]
, 2014 In this paper we review many aspects of the well-posedness theory for the Cauchy problem for the continuity and transport equations and for the ordinary differential equation (ODE). In this framework, we deal with velocity fields that are not smooth, but
Crippa, Gianluca, Ambrosio, Luigi
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Investigation of a cost‐effective finite difference scheme for the transport equation
Mathematical Modelling and Analysis, 2003 The transport equation for three‐dimensional flow of a viscous gas is considered. An implicit finite difference scheme is constructed for approximating the transport equation. The error estimation is proved.
D. G. Slugin, A. V. Popov
doaj +1 more source
Direct discrete method and its application to neutron transport problems [PDF]
Nuclear Technology and Radiation Protection, 2003 The objective of this paper is to introduce a new direct method for neutronic calculations. This method, called direct discrete method, is simpler than the application of the neutron transport equation and more compatible with the physical meanings of ...
Vosoughi Naser +3 more
doaj +1 more source
On L to H-mode transitions of the tokamak and entropy reduction [PDF]
Nuclear Technology and Radiation Protection, 2006 In an ideal case, it is assumed that the models for tokamak and stellarator plasma behaviour lead to the theory of invariant manifolds by Rastović [Chaos, Solitons & Fractals, 2007]. But, at the present state of knowledge a more realistic concept for
Rastović Danilo
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Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method [PDF]
Компьютерные исследования и моделирование, 2011 Efficient method for numerical solving of the steady transport equation in x-y-z-geometry has been suggested. The equation is being solved on hexagonal mesh, reflecting real structure of the reactor active zone cross-section. Method of characteristics is
Elena Nikolaevna Aristova +1 more
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Verification of the detachment–transport coupling relationship of rill erosion using colluvium material in steep nonerodible slopes [PDF]
PeerJ, 2023 The detachment–transport coupling equation by Foster and Meyer is a classical equation that describes the relationship between detachment and transport.
Libo Chen +9 more
doaj +2 more sources
A unified view of transport equations [PDF]
Physica A: Statistical Mechanics and its Applications, 2020 Distribution functions of many static transport equations are found using the Maximum Entropy Principle. The equations of constraint which contain the relevant dynamical information are simply the low-lying moments of the distributions. Systems subject to conservative forces have also been considered.
Secrest, J. A. +2 more
openaire +3 more sources